In(n+1) n-2 is divergent. The sequence an %3D Select one: True False

Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: a) Find the value of a such that the series 00 a E(-1)" is equal to . If it is not possible 2" n=0…

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Q: — т3 + 3х2 — 2х — 1. + 3x2 %3D

A: answer is in next step

Q: Let f(x) be the function 10x - 2x + 9. Then the quotient f(4 + h) – f(4) can be simplified to ah + b…

A: f(4+h)-f(4)h=(10(x+h)2-2(x+h)+9)-10x2-2x+9h=10x2+10h2+20xh-2x-2h+9-10x2+2x-9h=10h2+20xh-2hh=h(10h+20…

Q: The graph of f is shown. State the signs of f'and f" on the interval (0, 2).

A: A function f(x) is increasing if              f '(x) >0 The graph of the function f(x) is…

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1,…

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Q: 2.33 Let p(r) = x4 + x³ -- 2x2 + x + 1. Prove that the polynomial equation p(x) = 0 has a root in…

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Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph…

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Q: Use the Root Test to determine If the following series converges absolutely or diverges. Σ ne1 (3n +…

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Q: You deposit $1000 in an account with an annual interest rate of r (in decimal form) compounded…

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Q: Find the indicated terms of the geometric sequence with the given description. The third term is…

A: To find the indicated terms of the geometric sequence with the given description. The third term is…

Q: The function 3 y = -e 5 is a particular solution for the nonhomogeneous differential equation y" + y…

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Q: 5 3 + s2 –8 s2. 3.

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Q: The series 5 n 6. n=4 8

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Q: Hw) Salvethe diffequ

A: We need to solve D.E.

Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

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Q: If a = i+ 4j + k and b =i+ 8j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: a) ) Sketch and find the area of the surface obtained by rotating the curve y=/3x+4 for x E [3,5).…

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Q: x = e', y= te', z= te"; (1,0, 0)

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Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

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Q: x' + y = 0 y' – x = 0 x(0) = 1 y(0) = 0.

A: In order to solve the differential equations we need to separate the variables and integrate the…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y =…

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Q: Find the marginal revenue for producing x units. (The revenue is measured in dollars.) R = 30  10x −…

A: Given that, R = 30(10x − x3⁄2)

Q: What values of x within [0,2pie] does f(x) = x-2cos(x) have a horizontal tangent line?

A: Given problem:- What values of x within [0,2pie] does f(x) = x-2 cos(x) have a horizontal tangent…

Q: Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Given,            fx,y=cosx+y , P0,π , Qπ2,0To find : Find the directional derivative of the…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r=…

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Q: a)Find the arc length of f(x)= In(1+x³), Osx<5 Answer:

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Lhe y-axIS. a = 10 b = 2 y=ax(x- b Sketch a typical approximating shell. (Do this on paper. Your…

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Q: If the marginal cost function is given by c'(x) = 3x + 4x+ 3, then a general expression for the…

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Q: A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum…

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Q: Graph the region bounded by r=3-6sinθ

A: Given r=3-6sinθWe will now graph the given function

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Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: Test the series below for convergence using the Ratio Test. S In(n) 6h n=2 The limit of the ratio…

A: Given: Now,             limn→∞ lnn+16n+1lnn6n=limn→∞ lnn+16n· 6lnn6n=16·limn→∞…

Q: ind the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: A company introduces a new product for which the number of units sold S is given by the equation…

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Q: dy Find by implicit differentiation a. ペt=e4 b. Jxy=xy+| Sinx t 2 cos 2y=I %3D C-

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Q: 2x2 y = Зх — 1

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Q: i) The area of the surface obtained by the rotating the curve y=V 16-x², -1s×<1 about the x-axis is

A: As per the company's guidelines, we are supposed to solve first question for you,  kindly repost the…

Q: Bookmarks Window Help History ut.blackboard.com Mail - Abigale E... Mail - Abigale E... E 4/16/22 -…

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Q: A. For each of the following functions, find the indicated derivative using the definition. 4. f(x)…

A: Let's find.

Q: 4045÷135= %3D

A: Explained below

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Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

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Q: 1.92 Referring to the definition in Exercise 1.91, answer the following questions. a) Prove that…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find length of the curve described by the parametric equations x = T sin t, y = r cost, e <t< T. А.…

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Q: A. For each of the following functions, find the indicated derivative using the definition. 1. f(x)…

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